Question:
The output \(Y\) in the following logic circuit will be ONE only if
The output \(Y\) in the following logic circuit will be ONE only if
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Use Boolean algebra to simplify logic circuits quickly.
Updated On: Feb 11, 2026
- B is ‘1’
- A is ‘1’
- B is ‘0’
- A is ‘0’
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The Correct Option is B
Solution and Explanation
Step 1: Identifying the gates.
The first gate is an AND gate taking inputs A and B. The output of this AND gate and input A go into an OR gate.
Step 2: Writing the Boolean expression.
\[ Y = A + (A \cdot B) \]
Step 3: Simplifying the expression.
\[ Y = A \]
Step 4: Conclusion.
The output \(Y\) will be ONE only when A is ‘1’.
The first gate is an AND gate taking inputs A and B. The output of this AND gate and input A go into an OR gate.
Step 2: Writing the Boolean expression.
\[ Y = A + (A \cdot B) \]
Step 3: Simplifying the expression.
\[ Y = A \]
Step 4: Conclusion.
The output \(Y\) will be ONE only when A is ‘1’.
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